The paper establishes finite-sample lower bounds on the true MMSE of sensitive feature inference, expressed as empirical MSE minus finite-sample and approximation error terms, with closed-form approximation bounds for linear models.
Estimation in Gaussian noise: Properties of the minimum mean-square error,
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Lower Bounds on the MMSE of Adversarially Inferring Sensitive Features
The paper establishes finite-sample lower bounds on the true MMSE of sensitive feature inference, expressed as empirical MSE minus finite-sample and approximation error terms, with closed-form approximation bounds for linear models.